Question

what's the solution of lim x->0 x(sin(1/x) @Mathewhmatics @MIT 18.06 Linear …

Answer 1

0

Answer 2

but lim x->0 sin(1/x) is indeterminate

Answer 3

Ive seen people try and prove this with delta epsilon and some with squeeze theorem. either way it is 0.
squeeze example:
http://www.math.washington.edu/~conroy/general/sin1overx/
delta eps:
http://mathforum.org/library/drmath/view/60576.html